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XIII. Queft. 373, by Mr.JohnWilliams, of Mold, in Flintshire, Mathematicians take Pains to defcribe Curves and Solids that never exifted, yet fay little or nothing to the Properties of thofe things that are in Nature; especially the Sections, Solidities, and Curve Superficies of the EGG, which is one of Nature's principal Productions. If any of the Problematic Problemifis would be pleased to give the Solution of the Quantity of Curve-Superficies and Solidity of the EGG, when its Axis is 2 Inches, greatest Ordinate 1, and the Distance from that Ordinate to the nearest End, 1 Inch, they would be intitled to a Maximum of Applaufe, instead of the Minimum acquired, by puffing and cavilling about their fuperior Dignity, who are odd Fishes at Foot-Ball.

XIV. Quest. 374. by Philotheoros,

My Lord Mayor's Gold Chain being 50 Inches in measuring round it, at what Distance muft it be hung over two Pins, horizontally fix'd in a Wall, cover'd with Crimson Damask, for a Spectator to behold the most Damask poffible, within the Circumference of the Chain?

PRIZE-QUESTION, by Mr. James Hartley, of Yarum.
Whoever answers the fame before Candlemas-day, has a Chance, by
Lot, to win 10 Diaries.

P

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W

E F

C

K

Suppofe DAFE to be a Veffel in the Form of a Conical Fruftum, whofe Top Diameter DA20, Bottom Diameter = 10, and Depth 15 Inches, fufpended by an inflex→ ible Line Ca 100 Inches (the Line and Veffel being fuppos'd of no Weight) and the Veffel full of Water to weigh 100 Pounds Weight, when the Veffel is perpendicularly fufpended at B. Let the Veffel be drawn afide by a Cord fasten'd at (a) the Bottom of the Veffel, while at the other End of the Cord is a Weight W fufpended, the Cord freely fliding over the Pulley at P, plac'd at fuch a Distance from C, in the Horizontal Line PC, as to require the leaft Weight, W, poffible, to equipoize the Veffel when the Tenfion of the Cord Pa is a Maximum: Requir'd the Weight, W, and Distance P C?

B

New PARADOXES to be anfwer'd in next Year's Diary. PARADOX I. by Mr Cottam, at his Grace the Duke of Norfolk's.

Hene'er myLord *a Journey takes Or to a Friend a Vifit makes, His nearest Road South always lies, (Directly South) which all furprise!

Remote the Place, adjacent, either,
This fide or that, no matter whether.
Hereof the Reafon make appear
In your fam'd Diary for next Year.

*A certain Nobleman, of Parts and Knowledge, acquired at N. N. College, whofe Situation, Houfe, Furniture, Gardens, Fields, Landscape, Qxen, Sheep, Fish, Fowl, Hunting, &c. are finely defcribed by the AuEbor, which we are forced to curtail, for want of Room.

PARADOX II,

PARADOX II. by John a Stiles, Clerk of H-n.

A Man's Lands, which he's fuppos'd to have purchas'd, devolv'd to his only Daughter, and then to her eldeft Son (according to common Defcents) and the only Son of the Purchafer, who was begotten in law-` ful Wedlock, as well as the Daughter; yet he had nevertheless no manner of Right to the Inheritance after his Deccafe: How could this be?

Answers to all the Ænigmas in laft Year's DIARY.

I.

339. A BELL, and the ROPE. II. 340. An UNJUST STEWARD. III. 341. A HIGHWAY-MAN, or

THIEF.

IV. 342. A SNAIL.

V. 343. A LADY'S JOSEPH.
VI. 344. The FIVE VOWELS.
VII. 345. A MAP OF THE WORLD.

VIII. 346. A Box-IRON.
IX. 347. A PAIR OF SHOES.
X. 348. A REEL.
XI. 349. A PIN.

Prize, A TRICK, or DECE IT.
1 Lat. A FLINT.

2 Lat. INCENSE, orFRANKINCENSE.
3 Lat. A CANE.

All the Enigmas in laft Year's Diary anfwered by Mifs Ann Hulje of Elworth-hall [Quere Alworth] in Cheshire, in the Character of a Country Girl.

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DWELL upon the rural Plain,
Where Innocence and Freedom reign;
I never with the BELLES refort,
Nor ever wifh'd to fee the Court.
No STEWARD need to tell my Rent, 2
My Wealth is center'd in Content.
Sweet Slumbers clofe my Eyes at Night,
No Midnight ROBBERS me affright.
In homely Garb of Ruffet Grey,
And LEATHER SHOES, I hail theday! 9
To touch the Mode I ne'er was bred,
To flirt a Fan, or PIN my Head; 11
No JOSEPH wear to fhew my Shape, 5 As in a MAP, the Great I fee, 7
Nor Hat and Wig the Men to ape;
A tedious Load of Pageantry,
NoHoop of CANE fets off my Cloths, I envy not their Wealth, or Pow'r,
I want not to allure the Beaux. [3 I.The gaudy Idols of an Hour!
My VOWELS learnt to know at School, Much happier in my humble Cot,
And how to follow Virtue's Rule. [6]Than if a Palace were my Lot.

No idle Time lies on my Hands,
Some part theSMOOTHING-IRON

commands, 8. [demands, 10
And fome the Housewife's REEL
My vacant Hours my Wheel employs,
No Doctor'sFee the SNAIL fupplies.4
DECEIT ne'er enter'd in this
31 Breaft, Pr.'
[1 Lat.
My Heart is FLINT to fuch aGueft;
An upright Life, and Morals found,
Sweeter than INCENSE will be
found, 2 Lat.

You are a very good Girl, Mifs! Χρονονμονονπύβλικ©

Four young Ladies, to the Author of the Lady's Diary. SIR, The Enigmas we've fent you are the Production of four young Ladies, who crave your Favour.

As we have made you an Offering of the First Fruits of our Genius, accept them with the Allowances due to the State of Infancy, and give all, or fome of us, a Place in your excellent Diary.

and fear

If you neglect our first Attempts, we shall not eafily pardon · ful we are of taking Revenge! as we cannot tell how far our Refentment

may

may prompt us to proceed against you! And we had rather embrace you in the Arms of our Friendship, than hold you in Contempt! Therefore, Dear Sir, for your own dear fake, have fome Compaffion for four Ladies, who prefer a Station and Pleasure in your Power to give them, far before the advantageous Situation of a Front-Box at Drury-lane (tho' furrounded with pretty Fellows!) or any other confpicuous Poft in the Kingdom. Now, Sir, as we have never yet receiv'd a Denial from your Sex, excufe our Credulity, when, believing our Request already granted, we style ourfelves, Your conftant oblig'd Admirers, and humble Servants, Miranda Tell-Truth, | Matilda, and

Alifpia,

Belinda Amoretta. ·

Alifpia, (one of the four celebrated Geniuses) answers the
Enigmas as follows. To the Author.

Dear SIR, Pray excufe all the Faults of my Mufe,
And give me once more a flight Hearing,
And, if me you'll indulge, I'll my Secrets divulge,
And proteft you are very endearing!

Your Enigmas I've read both when up and in Bed,
And have found that the fourth is a SNAIL,
A JOSEPH the next — - fhall be grievously vex'd,
If to publish them, Sir, you should fail.
For your annual Di'ry I'll make ftrict Enquiry,
Next Year long before 'tis in Print;

But, unless it comes foon, and brings with it my Boon,
I fhall certainly fay there's Nought in't.

If by Silence I'm croft, it may be to your Coft!
And beware how you fhew me Neglect;

But, in publishing Thefe, you will certainly pleafe,
And be honour'd with all my Respect.

Alifpia:

She proceeds thus; being determin'd to run away with her Lover.

Dear Swain, no DECEIT fhall your Wishes defeat, Prize.

Since no Lawyer nor HIGHWAYMAN fright!

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I care not a PIN who may think it a Sin,

For, refolv'd, I'll go with you this Night.

In an old Capuchin, I'll fteal out on the Green,
There, exactly at Eight, let us meet,

Hear fweet Philomel fing, and the Village BELLS ring,
And rejoice at our happy Retreat.

1

By the MAP, never fear, we'll faccessfully fteer,

7

Leaving REEL, VOWELS and Box-IRON behind; 10, 6,8 Content, Damon, with you, I could range the World thro', While my SHOES are but Slaves to my Mind.

9

Several Ænigmas in the latt Year's Diary answered by Mr. 7. Bofter. To the Author.

May Fortune place you in fome rural Seat,
Where Innocence is SMOOTH'd with no DECEIT ;
Where fweet Content on ev'ry Brow appears,
And lib'ral Plenty crowns revolving Years;
Where fmiling Nature opens all her Store,
And PiNing Murmur never haunts the Door.

8, Pr.

No

No Envy there fhall rob your foft Repofe,

Where harmless Pleasure no Court-Sorrow knows ;

Nor Knaves and Cheats your future Peace moleft,

I

But Honefty be thro' theWORLD profeft *. 7 * Alluding to the Map.
May Candour and Discretion be
your Guide,
And juft Example SOUND your Praises wide.
Whene'er you wed, no faithlefs Partner choose,
Array'd in LONG-TAIL'D VESTURES, or Lac'd SHOES, 5, 9
Left your dear-bought Experience you bewail
Confumptions deep are paft the Cure of SNAIL;
And Words are useless where the VOWELS fail.
Some rural Nymph, let your choice Care pursue,
To Toils inur'd, who REELS the flaxen Clue;
With fuch a Spouse, in Conftancy be bleft,
Till boary Age fhall fummon you to Reft.

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ΤΟ

Mr. John Ramsay answers the 1ft and Prize Enigmas thus:
The Serpent once beguil'd our Mother Eve,
So treach'rous Man continues to DECEIVE:
Let Mafon's ROPE to Knaves and Cheats be giv'n,

Prize.

*

I

And Haman's Gallows fhew their Way to Heav'n. Eftb. vii. 9, 10.
To the Author of the Lady's Diary.

SIR, Tho' I am but a Youth, and was not Fourteen Years of Age when your Diary fell into my Hands, I have hit upon the Enigmas, and fent you their Solutions in Verse.

Proceeding to the Queftions, my Mouth water'd at that of the FruitTrees, which Solution, and another to the 353d Queft. and a new Question (by a Lincolnshire Goffard) I have fent you.

If they find favour in your Sight, it will encourage a young Tyro to proceed in the rugged Paths of Algebra, Geometry, and Fluxions, even to the Summit of Mount Science (more difficult to afcend than paffing the Alps to our young Nobility on their Travels) and when I appear before the Illuftrious Goddess in the Temple of Science, fitting on the Throne of Truth, with a Crown of Stars on her Head, I will pay to her my Homage and Duty, as is described in a late curious Performance*, intituled, Fluxions for the Ladies.

I am, Sir, your moft humble Servant,

Henry Watson. *This Pamphlet is to be bad of Mr. Owen, Bookfeller, near Temple Bar, if the first Edition be not fold off.

All the Ænigmas anfwer'd by Mr. Henry Watfon, a Tyro of
Gofberton School, Lincolnshire-Holland.

A Maiden of Mettle, no more than Eighteen,
Laid her PINS, and her SMOOTHING-Box by,

She buckled her SHOES, and her JOSEPH put on,
Her Pincushion hung by her Side,

Who fpy'd her dear STEWARD gang over the Green,
Refolv'd, thus, his Courage to try.

11, 8

2

9,5

When the BELL had rung Eight, and the Day-light was gone, 1

Abroad this Virago did ride.

By

By the MAP of the Country, directing her Courfe,
And, leaving SNAILS Paces behind,

In the Turn of a REEL, by the Help of a Horfe,
Her o'ertaken Lover did find.

Then HIGHWAYMAN-like, she her Needle-Cafe drew,
"Deliver your Money, you Sot!

"I'll teach you your Vowels, A, E, I, O, U,
"For you ne'er was concern'd in the Plot."
Dear Steward aftonish'd! deliver'd his Purse,
She no longer the CHEAT could contain;

But faid tho' you're frighted, you're never the worse,
And gave him his Money again.

7

4

ΤΟ

3

6

Prize.

All the Enigma's answer'd by 'Squire Squib, of Norfolk.
Semper ego Auditor tantum, nunquamne reponam ?
Upnorenfis a Joke on himself mayhap draw

If his BELL fhould be crack'd who would found his own Flaw?
Chrononpub. if I'm right, has been plagu'd with an Evil,
Falle Friends, and ill STEWARD, bad Wife, or the Devil.
Jack Catch has a Right to all HIGHWAYMEN fure,
May his Halter all those who deferve it fecure;
And let him beware who is proud of himself,

Left a ROPE fhould reward him, inftead of more Pelf.
Ruftic's Riddle a Slur on the Faculty paffes,

For SNAILS can cure Hectics -and Doctors and Affes
If Salmon's a Chriftian- I'd have him take Care,
How, dreft in their JOSEPHS, he fport with the Fair.
Difcipulus with VOWELS would ftir up our Doubt,
Before he has learnt his Chris-Crofs Row throughout.
Honeftus wears Goodness upon his Out-fide,

But remove his MAP-Screen and it foon will be try'd.
Elfa Titley's a Laundrefs, her Box tells you fo,

But her SMOOTHING fhall never for Conftancy go.

Salmon once more appears, juft to tell us more News,
Who was found hard at Pray'rs on his Knees without SHOES ;
Mafter Duston at Horn-fair, look'd polish'd as Steel,

Whofe Wife fent him thither

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to buy her a REEL.

Now, Celadon next, with his Crambo comes in,
Whofe cavilling Sylvia, contends for a PIN.

For the Prize last of all, I come juft in the Nick,

My Pegafus wincing

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Prize.

Mr. John Fish, of Dartford in Kent, answers the Prize

Enigma thus:

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* $inocop®! O good Mr. Wifeacre, our quondam Friend!

Α

Uthors appear inconfiftent to their Readers, because their Judgments differ; and becaufe all Authors cannot cut, and contrive

their Timber, for Advantage, alike.

Tempora O Mores! UTRIUSQUE JACOBI,

Para

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